538577 has 8 divisors (see below), whose sum is σ = 614376. Its totient is φ = 467712.

The previous prime is 538567. The next prime is 538579. The reversal of 538577 is 775835.

538577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 358801 = 424^2 + 599^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 538577 - 2⁴ = 538561 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 538577.

It is not an unprimeable number, because it can be changed into a prime (538579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 998 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (76797).

2⁵³⁸⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

538577 is a deficient number, since it is larger than the sum of its proper divisors (75799).

538577 is a wasteful number, since it uses less digits than its factorization.

538577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467.

The product of its digits is 29400, while the sum is 35.

The square root of 538577 is about 733.8780552653. The cubic root of 538577 is about 81.3609356433.

It can be divided in two parts, 53 and 8577, that multiplied together give a triangular number (454581 = T₉₅₃).

The spelling of 538577 in words is "five hundred thirty-eight thousand, five hundred seventy-seven".